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Local resonant characteristics of a layered cylinder embedded in the elastic medium
作者姓名:秦波  陈久久  程建春
作者单位:State Key Laboratory of Modern Acoustic and Institute of Acoustics,Nanjing University, Nanjing 210093, China;State Key Laboratory of Modern Acoustic and Institute of Acoustics,Nanjing University, Nanjing 210093, China;State Key Laboratory of Modern Acoustic and Institute of Acoustics,Nanjing University, Nanjing 210093, China
基金项目:Project supported by the Funds for outstanding Youth Researchers from the National Natural Science Foundation of China (Grant No 10125417) and the State Key Development Program for Basic Research of China (Grant No 51307).
摘    要:Three kinds of resonant modes of a single layered circular elastic cylinder embedded in the elastic medium are analysed by considering the oscillation of the scatter's core, based on the fact that the core moves as a rigid body when the shell material is very compliant. The resonant frequencies of the single resonator acquired by our method are in good agreement with those calculated by the local interaction simulation approach (LISA) for the local resonant phononic crystal. Therefore, the local resonant characteristics of a single layered circular elastic cylinder can be used to evaluate the resonant frequencies of the phononic crystal. The effects of the geometrical and physical parameters of the shell and the core are also studied in details. This work is significant for designing the locally resonant phononic crystal based on the local resonant characteristics of the single resonator, and the resonant frequencies can be tuned by selecting the geometrical sizes and the materials.

关 键 词:弹性波  局部谐振  分层柱面  弹性媒介
收稿时间:2/2/2005 12:00:00 AM
修稿时间:2005-02-022005-06-27

Local resonant characteristics of a layered cylinder embedded in the elastic medium
Qin Bo,Chen Jiu-Jiu and Cheng Jian-Chun.Local resonant characteristics of a layered cylinder embedded in the elastic medium[J].Chinese Physics B,2005,14(12):2522-2528.
Authors:Qin Bo  Chen Jiu-Jiu and Cheng Jian-Chun
Institution:State Key Laboratory of Modern Acoustic and Institute of Acoustics,Nanjing University, Nanjing 210093, China
Abstract:Three kinds of resonant modes of a single layered circular elastic cylinder embedded in the elastic medium are analysed by considering the oscillation of the scatter's core, based on the fact that the core moves as a rigid body when the shell material is very compliant. The resonant frequencies of the single resonator acquired by our method are in good agreement with those calculated by the local interaction simulation approach (LISA) for the local resonant phononic crystal. Therefore, the local resonant characteristics of a single layered circular elastic cylinder can be used to evaluate the resonant frequencies of the phononic crystal. The effects of the geometrical and physical parameters of the shell and the core are also studied in details. This work is significant for designing the locally resonant phononic crystal based on the local resonant characteristics of the single resonator, and the resonant frequencies can be tuned by selecting the geometrical sizes and the materials.
Keywords:elastic wave  local resonance  layered cylinder
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